Page 330 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math24-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N 24H3 pzd nkdoP d/ ;zs[bB ;wheoDK dk gfjbk ;w[Zu
(First Set for Equilibrium Equation of Closed Model)

rfDse o{g ftZu pzd nkdoP d/ nzsors
n+ 1
i ∑
X = X HHHHH(24H4)
ij
j= 1
(i = 1, 2, .... n + 1)
;fEo seBheh r[DKe dh dPk ftZu,

x ij = a ij X i HHHHH(24H5)
;wheoD (24H5) dk wkB ;wheoD (24H6) ftZu oZyD s/
i ∑
X = n+ 1 aX
j
ij
j= 1
i ∑
iK X = n+ 1 aX = 0 HHHHH(24H6)
j
ij
j= 1
;wheoD (24H6) ;zs[bB ;wheoDK dk gfjbk ;w[Zu j?.

24H4 pzd nkdoP d/ ;zs[bB ;wheoDK dk d{ik ;w[Zu
(The Second Set of Equilibrium Equation of Closed Model)
fJZE/ n;hA w[ZbK P i (i = 1, 2 .... n + 1) T[Zs/ fXnkB e/Adfos eoKr/. fJZE/ P i xo/b{ y/so dh
fwjBs do j?.

fJZE/ fJj wzBe/ fe T[d:'r ftZu gqkgshnK (Receipts) ns/ bkrsK (Costs) ;wkB jB, ;zs[bB
;wheoD B{z j/m nB[;ko t:{s T[sgkds ehsk ik ;edk j?.
it/A T[d:'r d/ bJh,

gqkgshnK = X i P i
n+
ij ∑
ns/ bkrs = ∑ 1 PX = n+ 1 a X P
ij
i
i i
j= 1 j= 1
fiZE/, x ij = a ij X i
;zs[bB dh dPk ftZu,
ii ∑
XP = n+ 1 a XP
ij
ii
j= 1
ii ∑
iK XP = n+ 1 a XP
ij
ii
j= 1
ii ∑
iK XP = n+ 1 a XP = 0 HHHHH(24H7)
ij
ii
j= 1
i = 1, 2, .... n
;wheoD (24H7) ;zs[bB ;wheoDK dk d{ik ;w[Zu j?.

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